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Proceedings of the American Mathematical Society

Published by the American Mathematical Society since 1950, Proceedings of the American Mathematical Society is devoted to shorter research articles in all areas of pure and applied mathematics.

ISSN 1088-6826 (online) ISSN 0002-9939 (print)

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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The equations defining a curve of genus $4$
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by George R. Kempf PDF
Proc. Amer. Math. Soc. 97 (1986), 219-225 Request permission

Abstract:

For most curves of genus 4 and characteristic $\geqslant 3$ the second osculating cone of the theta divisor is the cone over the canonical curve.
References
  • L. Ehrenpreis and H. M. Farkas, Some refinements of the Poincaré period relation, Discontinuous groups and Riemann surfaces (Proc. Conf., Univ. Maryland, College Park, Md., 1973) Ann. of Math. Studies, No. 79, Princeton Univ. Press, Princeton, N.J., 1974, pp. 105–120. MR 0361056
  • George Kempf, On the geometry of a theorem of Riemann, Ann. of Math. (2) 98 (1973), 178–185. MR 349687, DOI 10.2307/1970910
    • —, Abelian integrals, Monografias Inst. Mat. No. 13, Univ. Nacional Autonoma Mexico, 1984.
  • George R. Kempf, On algebraic curves, J. Reine Angew. Math. 295 (1977), 40–48. MR 457449, DOI 10.1515/crll.1977.295.40
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Additional Information
  • © Copyright 1986 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 97 (1986), 219-225
  • MSC: Primary 14H40; Secondary 30F10
  • DOI: https://doi.org/10.1090/S0002-9939-1986-0835869-2
  • MathSciNet review: 835869